Incorporated the 3 Microsoft Power Platform elements into this one -

1. Power BI - for visual analytics.
2. Power Apps (embedded in Power BI) - for writeback capabilities.
3. Power Automate (embedded in Power Apps) - for on-demand refresh of Power BI dataset.

The timeline Gantt chart has been built using Microsoft Charticulator visual.

Link to the Dribbble design by Alex Voitenko - projects by Alex Voitenko for Voit Team on Dribbble

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Unfortunately, Power Apps does not have Publish-to-Web functionality without sign-in, so the interactive dashboard above will only demonstrate the Power BI features. But the demo video below provides a view into the final look and capabilities -