Stop driving the animation backend after Fabric binding teardown #40869

Job	Run time
set_release_type	3s
check_code_changes	10s
lint	1m 56s
build_android	35m 50s
prebuild_apple_dependencies	0s
test_ios_rntester_dynamic_frameworks	0s
build_debugger_shell	-1s
prebuild_react_native_core	-1s
test_ios_rntester	-1s
test_ios_rntester_ruby_3_2_0	-1s
test_ios_helloworld_with_ruby_3_2_0	-1s
test_ios_helloworld	-1s
test_e2e_ios_rntester	0s
test_e2e_ios_rntester_retry_1	0s
test_e2e_ios_rntester_retry_2	0s
build_js_types	1m 13s
test_js (24)	3m 35s
build_fantom_runner	12m 7s
test_js (22.13.0)	3m 54s
run_fantom_tests / test	3m 24s
run_fantom_tests / report	3s
run_fantom_tests_retry_1	0s
run_fantom_tests_retry_2	-1s
build_npm_package	2m 34s
test_e2e_android_rntester / test (release)	5m 44s
test_e2e_android_rntester / test (debug)	10m 28s
test_android_helloworld (Debug)	5m 4s
test_android_helloworld (Release)	5m 14s
test_e2e_android_templateapp / test (release)	8m 12s
test_e2e_android_templateapp / test (debug)	8m 14s
test_e2e_ios_templateapp	0s
test_e2e_ios_templateapp_retry_1	0s
test_e2e_ios_templateapp_retry_2	0s
test_e2e_android_rntester / report	3s
test_e2e_android_rntester_retry_1 / test (release)	9m 30s
test_e2e_android_rntester_retry_1 / test (debug)	10m 45s
test_e2e_android_templateapp / report	4s
test_e2e_android_templateapp_retry_1	0s
test_e2e_android_templateapp_retry_2	0s
test_e2e_android_rntester_retry_1 / report	14s
test_e2e_android_rntester_retry_2	0s
	2h 8m 14s

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