fix: Update `push_data` and `user_data` annotation with `JsonSerializable` instead of `Any` #588

Job	Run time
PR title check	5s
Code checks / Lint check / Lint check (3.13)	33s
Code checks / Lint check / Lint check (3.14)	34s
Code checks / Type check / Type check (3.12)	39s
Doc checks / Doc checks / Docs check	1m 35s
Code checks / Lint check / Lint check (3.10)	35s
Code checks / Lint check / Lint check (3.11)	33s
Code checks / Type check / Type check (3.13)	37s
Code checks / Type check / Type check (3.11)	34s
Code checks / Type check / Type check (3.10)	37s
Code checks / Type check / Type check (3.14)	31s
Code checks / Spell check	9s
Code checks / Actions lint check	30s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	5m 7s
Code checks / Lint check / Lint check (3.12)	34s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	5m 17s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	3m 54s
Tests / Unit tests / Unit tests (macos-latest, 3.12)	3m 59s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	5m 8s
Tests / Unit tests / Unit tests (macos-latest, 3.11)	5m 41s
Tests / Unit tests / Unit tests (macos-latest, 3.13)	5m 7s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	6m 56s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	5m 8s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	7m 12s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	6m 20s
Tests / Unit tests / Unit tests (macos-latest, 3.10)	8m 6s
Tests / Unit tests / Unit tests (macos-latest, 3.14)	6m 17s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	7m 8s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	5m 44s
	1h 35m 10s

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