Fix inference unable to run due to JS WASM runtime not being bundled into `onnxruntime-web/wasm` build #982

Job	Run time
5. Build Extended Minimal	10m 0s
6b. Build Minimal (No Optional Features)	8m 9s
6a. Build Regular (No Optional Features)	12m 45s
1. Build Full ORT and Generate ORT Files	15m 30s
6c. Build Extended Minimal (No Optional Features)	8m 18s
2. Build Minimal (Exceptions Disabled)	9m 14s
4. Build Minimal (Globally Allowed Types)	8m 32s
3a. Build Minimal (Custom Ops)	8m 20s
3b. Build Minimal (Type Reduction)	8m 23s
7. Build Extended Minimal (Android NNAPI)	8m 39s
	1h 37m 50s

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