Bump typescript from 5.7.3 to 5.8.2 in /cirq-web/cirq_ts #17297

Job	Run time
Misc check	5s
Packaging test	1m 8s
Changed files test	59s
Doc test	1m 30s
Format check	8s
Isolated pytest Ubuntu	8m 31s
Lint check	2m 39s
Type check	1m 21s
Notebook formatting	7s
Pytest Ubuntu (3.10)	7m 6s
Pytest Ubuntu (3.11)	5m 47s
Pytest Ubuntu with NumPy-2 (3.10)	6m 16s
Pytest Ubuntu (3.12)	7m 8s
Shell check	6s
Pytest Ubuntu with NumPy-2 (3.11)	6m 33s
Pytest Ubuntu with NumPy-2 (3.12)	6m 53s
Pytest Ubuntu with NumPy-2 (3.13)	6m 56s
Build protos	11s
Coverage check	11m 0s
Pytest MacOS (3.10)	6m 8s
Notebook Tests against PR	9m 59s
Pytest MacOS (3.11)	8m 34s
Pytest MacOS (3.12)	9m 38s
Changed Notebooks Isolated Test against Cirq stable (partition-0)	49s
Changed Notebooks Isolated Test against Cirq stable (partition-1)	42s
Check consistency of requirements	16s
Changed Notebooks Isolated Test against Cirq stable (partition-2)	43s
Bundle file consistency	41s
Changed Notebooks Isolated Test against Cirq stable (partition-3)	44s
Typescript tests coverage	34s
Typescript tests	36s
Pytest Windows (3.10)	8m 30s
Typescript lint check	31s
Pytest Windows (3.11)	8m 34s
Pytest Windows (3.12)	8m 26s
	2h 19m 49s

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