|  | @@ -60,9 +60,14 @@ const sum = (arr: number[]): number => {
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				|  |  |    })
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				|  |  |  }
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				|  |  |  
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				|  |  | +const defaultPeriod = {
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				|  |  | +  start: dayjs().subtract(7, 'day').format(commonDateFormat),
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				|  |  | +  end: dayjs().format(commonDateFormat),
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				|  |  | +}
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				|  |  | +
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				|  |  |  export type PeriodParams = {
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				|  |  |    name: string
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				|  |  | -  query: {
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				|  |  | +  query?: {
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				|  |  |      start: string
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				|  |  |      end: string
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				|  |  |    }
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				|  | @@ -257,7 +262,7 @@ export const ConversationsChart: FC<IBizChartProps> = ({ id, period }) => {
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				|  |  |    const noDataFlag = !response.data || response.data.length === 0
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				|  |  |    return <Chart
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				|  |  |      basicInfo={{ title: t('appOverview.analysis.totalMessages.title'), explanation: t('appOverview.analysis.totalMessages.explanation'), timePeriod: period.name }}
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				|  |  | -    chartData={!noDataFlag ? response : { data: getDefaultChartData(period.query) }}
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				|  |  | +    chartData={!noDataFlag ? response : { data: getDefaultChartData(period.query ?? defaultPeriod) }}
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				|  |  |      chartType='conversations'
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				|  |  |      {...(noDataFlag && { yMax: 500 })}
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				|  |  |    />
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				|  | @@ -272,7 +277,7 @@ export const EndUsersChart: FC<IBizChartProps> = ({ id, period }) => {
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				|  |  |    const noDataFlag = !response.data || response.data.length === 0
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				|  |  |    return <Chart
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				|  |  |      basicInfo={{ title: t('appOverview.analysis.activeUsers.title'), explanation: t('appOverview.analysis.activeUsers.explanation'), timePeriod: period.name }}
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				|  |  | -    chartData={!noDataFlag ? response : { data: getDefaultChartData(period.query) }}
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				|  |  | +    chartData={!noDataFlag ? response : { data: getDefaultChartData(period.query ?? defaultPeriod) }}
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				|  |  |      chartType='endUsers'
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				|  |  |      {...(noDataFlag && { yMax: 500 })}
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				|  |  |    />
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				|  | @@ -286,7 +291,7 @@ export const AvgSessionInteractions: FC<IBizChartProps> = ({ id, period }) => {
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				|  |  |    const noDataFlag = !response.data || response.data.length === 0
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				|  |  |    return <Chart
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				|  |  |      basicInfo={{ title: t('appOverview.analysis.avgSessionInteractions.title'), explanation: t('appOverview.analysis.avgSessionInteractions.explanation'), timePeriod: period.name }}
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				|  |  | -    chartData={!noDataFlag ? response : { data: getDefaultChartData({ ...period.query, key: 'interactions' }) } as any}
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				|  |  | +    chartData={!noDataFlag ? response : { data: getDefaultChartData({ ...(period.query ?? defaultPeriod), key: 'interactions' }) } as any}
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				|  |  |      chartType='conversations'
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				|  |  |      valueKey='interactions'
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				|  |  |      isAvg
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				|  | @@ -302,7 +307,7 @@ export const AvgResponseTime: FC<IBizChartProps> = ({ id, period }) => {
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				|  |  |    const noDataFlag = !response.data || response.data.length === 0
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				|  |  |    return <Chart
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				|  |  |      basicInfo={{ title: t('appOverview.analysis.avgResponseTime.title'), explanation: t('appOverview.analysis.avgResponseTime.explanation'), timePeriod: period.name }}
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				|  |  | -    chartData={!noDataFlag ? response : { data: getDefaultChartData({ ...period.query, key: 'latency' }) } as any}
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				|  |  | +    chartData={!noDataFlag ? response : { data: getDefaultChartData({ ...(period.query ?? defaultPeriod), key: 'latency' }) } as any}
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				|  |  |      valueKey='latency'
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				|  |  |      chartType='conversations'
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				|  |  |      isAvg
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				|  | @@ -319,7 +324,7 @@ export const UserSatisfactionRate: FC<IBizChartProps> = ({ id, period }) => {
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				|  |  |    const noDataFlag = !response.data || response.data.length === 0
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				|  |  |    return <Chart
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				|  |  |      basicInfo={{ title: t('appOverview.analysis.userSatisfactionRate.title'), explanation: t('appOverview.analysis.userSatisfactionRate.explanation'), timePeriod: period.name }}
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				|  |  | -    chartData={!noDataFlag ? response : { data: getDefaultChartData({ ...period.query, key: 'rate' }) } as any}
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				|  |  | +    chartData={!noDataFlag ? response : { data: getDefaultChartData({ ...(period.query ?? defaultPeriod), key: 'rate' }) } as any}
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				|  |  |      valueKey='rate'
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				|  |  |      chartType='endUsers'
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				|  |  |      isAvg
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				|  | @@ -336,7 +341,7 @@ export const CostChart: FC<IBizChartProps> = ({ id, period }) => {
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				|  |  |    const noDataFlag = !response.data || response.data.length === 0
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				|  |  |    return <Chart
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				|  |  |      basicInfo={{ title: t('appOverview.analysis.tokenUsage.title'), explanation: t('appOverview.analysis.tokenUsage.explanation'), timePeriod: period.name }}
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				|  |  | -    chartData={!noDataFlag ? response : { data: getDefaultChartData(period.query) }}
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				|  |  | +    chartData={!noDataFlag ? response : { data: getDefaultChartData(period.query ?? defaultPeriod) }}
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				|  |  |      chartType='costs'
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				|  |  |      {...(noDataFlag && { yMax: 100 })}
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				|  |  |    />
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