Add test for synchronous mount props override behavior (#56663) #38697

Job	Run time
check_code_changes	10s
set_release_type	2s
lint	1m 59s
build_android	12m 33s
prebuild_apple_dependencies	0s
build_debugger_shell	0s
test_ios_rntester_dynamic_frameworks	0s
prebuild_react_native_core	-1s
test_ios_rntester_ruby_3_2_0	-1s
test_ios_helloworld	-1s
test_ios_helloworld_with_ruby_3_2_0	-1s
test_ios_rntester	-1s
test_e2e_ios_rntester	0s
test_e2e_ios_rntester_retry_1	0s
test_e2e_ios_rntester_retry_2	0s
build_js_types	1m 6s
test_js (20.19.4)	3m 52s
test_js (22)	4m 4s
build_fantom_runner	19m 55s
test_js (24)	3m 41s
test_e2e_android_rntester / test (debug)	1h 0m 48s
test_e2e_android_rntester / test (release)	7m 3s
build_npm_package	0s
test_android_helloworld	0s
test_e2e_android_templateapp	0s
test_e2e_ios_templateapp	0s
test_e2e_ios_templateapp_retry_1	0s
test_e2e_ios_templateapp_retry_2	0s
test_e2e_android_templateapp_retry_2	0s
test_e2e_android_templateapp_retry_1	0s
run_fantom_tests / test	7m 36s
run_fantom_tests / report	3s
run_fantom_tests_retry_2	0s
run_fantom_tests_retry_1	0s
test_e2e_android_rntester / report	3s
test_e2e_android_rntester_retry_1 / test (debug)	7m 57s
test_e2e_android_rntester_retry_1 / test (release)	6m 18s
test_e2e_android_rntester_retry_1 / report	3s
test_e2e_android_rntester_retry_2	0s
	2h 17m 8s

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