Since your choices are few, you could use the Choice component showing those choices, perhaps using the ‘side view’ (for lack of the right term) instead of a list view.
Use a different sheet to pull the choices from, then create an ‘invisible’ column in the sheet that you have the meeting room filters, to put the choice that is selected in there.
On your app, create 4 Inline columns each with the filtered data for each choice. Then under Visibility Condition for each Inline List component, you put in the appropriate condition according to the choice that’s made.
I’ll play around with this tonight. My first thought is no because selecting a filter doesn’t alter your sheet nor is it recognizable to components. If there was a Visibility feature like “show when in app filter is __”, this would be easily possible, but there isn’t …yet.
Only thing you can’t do yet is have this functionality (let alone any in app filter) in a “details” view. Otherwise, you could have potentially displayed a rich text header with “X number of rooms available” that was conditioned on the data.