Is there an existing issue for this?

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Steps to reproduce

Go to: https://docs.flutter.dev/cookbook/design/tabs

Navigate between tabs.

It seems to happen at the end of the transition animation.

If I click too fast then the animation sometimes does not happen at all. That is acceptable I guess since nobody would do that but still can result in a desync.
Then there is fast clicking -> a tab is switched before the transition completes, this works as expected most of the time.
Then the problematic "at the end of the animation clicking" I am not sure if it is a one/two frame window but it happens often enough to be annoying.
And finally clicking when the animation is already finished seems to work 100% of the time.

Expected results

TabBar and TabBarView are in sync (I am on tab 3 and I see a bycicle)

Actual results

TabBar and TabBarView are desynced (I am on tab 3 and I see a train)

Code sample

https://docs.flutter.dev/cookbook/design/tabs

Screenshots or Video

Logs

No response

Flutter Doctor output