feat: use clientLoader + localStorage for resizable panel persistence #5374

Job	Run time
typecheck / typecheck	6m 41s
sdk-compat / Deno Runtime	2m 4s
e2e / 🧪 CLI v3 tests (windows-latest - npm)	4m 46s
e2e / 🧪 CLI v3 tests (windows-latest - pnpm)	4m 2s
e2e / 🧪 CLI v3 tests (ubuntu-latest - npm)	1m 49s
sdk-compat / Bun Runtime	1m 58s
e2e / 🧪 CLI v3 tests (ubuntu-latest - pnpm)	2m 0s
sdk-compat / Cloudflare Workers	2m 54s
sdk-compat / Node.js 22.12 (ubuntu-latest)	1m 57s
sdk-compat / Node.js 20.20 (ubuntu-latest)	2m 16s
units / packages / 🧪 Unit Tests: Packages (1, 1)	9m 3s
units / webapp / 🧪 Unit Tests: Webapp (2, 8)	4m 20s
units / webapp / 🧪 Unit Tests: Webapp (5, 8)	4m 24s
units / webapp / 🧪 Unit Tests: Webapp (1, 8)	6m 3s
units / webapp / 🧪 Unit Tests: Webapp (4, 8)	6m 1s
units / webapp / 🧪 Unit Tests: Webapp (3, 8)	3m 17s
units / internal / 🧪 Unit Tests: Internal (4, 8)	6m 18s
units / internal / 🧪 Unit Tests: Internal (5, 8)	5m 57s
units / internal / 🧪 Unit Tests: Internal (6, 8)	6m 5s
units / internal / 🧪 Unit Tests: Internal (3, 8)	8m 46s
units / internal / 🧪 Unit Tests: Internal (8, 8)	2m 40s
units / webapp / 🧪 Unit Tests: Webapp (7, 8)	5m 56s
units / internal / 🧪 Unit Tests: Internal (1, 8)	6m 23s
units / webapp / 🧪 Unit Tests: Webapp (8, 8)	2m 59s
units / internal / 🧪 Unit Tests: Internal (2, 8)	12m 37s
units / webapp / 🧪 Unit Tests: Webapp (6, 8)	8m 4s
units / internal / 🧪 Unit Tests: Internal (7, 8)	5m 38s
units / webapp / 📊 Merge Reports	49s
units / packages / 📊 Merge Reports	27s
units / internal / 📊 Merge Reports	22s
	2h 16m 36s

Provide feedback