fix: Use DeprecationWarning for deprecated methods and arguments #650

Job	Run time
PR title check	5s
Docstrings checks / Docstrings checks	18s
Code checks / Actions lint check	41s
Code checks / Spell check	8s
Doc checks / Doc checks / Docs check	1m 15s
Code checks / Lint check / Lint check (3.10)	12s
Code checks / Lint check / Lint check (3.13)	15s
Code checks / Lint check / Lint check (3.14)	14s
Code checks / Lint check / Lint check (3.12)	11s
Code checks / Lint check / Lint check (3.11)	13s
Tests / Unit tests / Unit tests (windows-latest, 3.11)	1m 19s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.11)	1m 1s
Tests / Unit tests / Unit tests (windows-latest, 3.10)	1m 20s
Code checks / Type check / Type check (3.11)	13s
Tests / Unit tests / Unit tests (windows-latest, 3.14)	1m 22s
Code checks / Type check / Type check (3.13)	13s
Code checks / Type check / Type check (3.12)	12s
Tests / Unit tests / Unit tests (windows-latest, 3.13)	1m 17s
Tests / Unit tests / Unit tests (windows-latest, 3.12)	1m 34s
Code checks / Type check / Type check (3.10)	11s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.13)	1m 4s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.14)	1m 5s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.10)	58s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.10)	54s
Tests / Unit tests / Unit tests (ubuntu-latest, 3.12)	1m 4s
Tests / Integration tests / Integration tests (ubuntu-latest, 3.14)	1m 12s
Code checks / Type check / Type check (3.14)	10s
	18m 41s

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