chore: bump `react-native` to 0.76 #5785

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Job	Run time
Build iOS	2m 18s
Build Android	1m 53s
Build (18, ubuntu-24.04)	4m 26s
Build the website	44s
Build (18, windows-2022)	4m 21s
Label	4s
Build (20, ubuntu-24.04)	4m 18s
Review	35s
Build (20, windows-2022)	4m 21s
	23m 0s