@Desnoir, While you can’t have this done automatically as @Jason_Woods mentioned, perhaps this may help (if I understand what you’re after):
It sounds like you’d like to exclude a set of your tasks from view in My Tasks. The way this is typically done is to “Mark for Later.” They’re still in My Tasks, but in the Later category, which many of us keep collapsed and never see, so effectively they’re gone from My Tasks view.
I noticed in your screenshot that every task is still “New” (has a blue dot). I would click that blue dot for one task you don’t want to see and select “Later” to move that task there. Repeat for any others you don’t want to see.
Now click that blue dot for one remaining task and select “Upcoming” to move that task there which creates the Upcoming category if not already there. Then select all the other tasks and drag them there as well.
If you intend to work on any of those tasks today, click at the right and select “Today” (or drag into today so long as that category is shown).
From now on, new tasks assigned to you will appear in the New category. Triage them as above regularly so you can discern new work assigned from previously-assigned work, and keep work prioritized.
Hope that helps!