build(replay): Ensure replay package has publishConfig

[mydea]

Let's see if that fixes the publishing issue... (Note that this was never there, but maybe this is a problem...)

[codecov]

Bundle Report

Changes will decrease total bundle size by 2.33MB ⬇️

Bundle name	Size	Change
@sentry-internal/replay-cjs	306.18kB	0 bytes
@sentry-internal/replay-esm	306.29kB	0 bytes
@sentry/astro-cjs	27.13kB	0 bytes
@sentry-internal/replay-canvas-cjs	29.43kB	0 bytes
@sentry/astro-esm	23.39kB	0 bytes
@sentry/vue-cjs	20.19kB	0 bytes
@sentry-internal/replay-canvas-esm	29.34kB	0 bytes
@sentry/remix-esm	48.23kB	0 bytes
@sentry/vue-esm	18.85kB	0 bytes
@sentry/browser-cjs	107.15kB	0 bytes
@sentry/nextjs-esm	20.02kB	0 bytes
@sentry/nextjs-cjs	163.47kB	142.96kB ⬆️
@sentry/browser-esm	104.35kB	0 bytes
@sentry/svelte-cjs	13.84kB	0 bytes
@sentry/wasm-cjs	5.2kB	0 bytes
@sentry/react-cjs	45.04kB	0 bytes
@sentry/sveltekit-cjs	69.31kB	0 bytes
@sentry/gatsby-cjs	2.88kB	0 bytes
@sentry/svelte-esm	12.72kB	0 bytes
@sentry/remix-cjs	53.62kB	0 bytes
@sentry/wasm-esm	4.85kB	0 bytes
@sentry/gatsby-esm	2.27kB	0 bytes
@sentry/react-esm	41.18kB	0 bytes
@sentry/sveltekit-esm	61.08kB	0 bytes
@sentry/utils-cjs	(removed)	179.0kB ⬇️
@sentry/core-cjs	(removed)	242.08kB ⬇️
@sentry/core-esm	(removed)	238.51kB ⬇️
@sentry/utils-esm	(removed)	174.41kB ⬇️
@sentry/types-cjs	(removed)	35 bytes ⬇️
@sentry/node-experimental-cjs	(removed)	157.11kB ⬇️
@sentry/types-esm	(removed)	35 bytes ⬇️
@sentry/node-experimental-esm	(removed)	150.43kB ⬇️
@sentry/opentelemetry-esm	(removed)	70.52kB ⬇️
@sentry-internal/integration-shims-cjs	(removed)	3.65kB ⬇️
@sentry/node-cjs	(removed)	337.26kB ⬇️
@sentry/vercel-edge-cjs	(removed)	18.23kB ⬇️
@sentry/node-esm	(removed)	333.86kB ⬇️
@sentry-internal/integration-shims-esm	(removed)	2.99kB ⬇️
@sentry-internal/tracing-esm	(removed)	107.22kB ⬇️
@sentry-internal/node-integration-tests-esm	(removed)	888 bytes ⬇️
@sentry/bun-cjs	(removed)	13.53kB ⬇️
@sentry/google-cloud-serverless-esm	(removed)	19.16kB ⬇️
@sentry/google-cloud-serverless-cjs	(removed)	23.0kB ⬇️
@sentry-internal/feedback-cjs	(removed)	65.56kB ⬇️
@sentry/bun-esm	(removed)	10.08kB ⬇️
@sentry/vercel-edge-esm	(removed)	16.13kB ⬇️
@sentry/aws-serverless-cjs	(removed)	14.62kB ⬇️
@sentry/opentelemetry-cjs	(removed)	71.63kB ⬇️
@sentry-internal/node-integration-tests-cjs	(removed)	1.04kB ⬇️
@sentry-internal/feedback-esm	(removed)	65.28kB ⬇️
@sentry-internal/tracing-cjs	(removed)	107.96kB ⬇️
@sentry/profiling-node-cjs	(removed)	25.5kB ⬇️
@sentry/profiling-node-esm	(removed)	25.52kB ⬇️