chore: remove deprecated api client package

[patzick]

Description

part of #1406

removed old api client, deprecated for some time now, no code changes needed

[vercel]

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Name	Status	Preview	Updated (UTC)
frontends-demo	🔄 Building (Inspect)	Visit Preview	Oct 31, 2024 3:56pm
shopware-frontends-docs	✅ Ready (Inspect)	Visit Preview	Oct 31, 2024 3:56pm

[codspeed-hq]

CodSpeed Performance Report

Merging #1409 will not alter performance

_{Comparing chore/remove-old-api-client-package (a0cf6a4) with main (f9fb243)}

Summary

✅ 9 untouched benchmarks

[pkg-pr-new]

Open in Stackblitz

@shopware/api-client

pnpm add https://pkg.pr.new/shopware/frontends/@shopware/api-client@1409

@shopware-pwa/composables-next

pnpm add https://pkg.pr.new/shopware/frontends/@shopware-pwa/composables-next@1409

@shopware-pwa/helpers-next

pnpm add https://pkg.pr.new/shopware/frontends/@shopware-pwa/helpers-next@1409

@shopware-pwa/cms-base

pnpm add https://pkg.pr.new/shopware/frontends/@shopware-pwa/cms-base@1409

@shopware/api-gen

pnpm add https://pkg.pr.new/shopware/frontends/@shopware/api-gen@1409

@shopware-pwa/nuxt3-module

pnpm add https://pkg.pr.new/shopware/frontends/@shopware-pwa/nuxt3-module@1409

commit: a0cf6a4