feat: update blobstream-x-deploy.md (#1442)

Implements feedback from Succint

developers/blobstream-x-deploy.md

@@ -4,10 +4,19 @@ If you want to deploy Blobstream X to a new chain, where a
 canonical Succinct Gateway contract does not exist, you
 need to do the following.
 
+If Succint Gateway already exists on this chain, you can skip
+this step.
+[You can check the list of deployed `SuccintGateway` contracts](https://docs.succinct.xyz/platform/onchain-integration#succinctgateway).
+
 ## Deploy a new `SuccinctGateway` contract
 
 [Deploy a new `SuccinctGateway` contract to the new chain](https://docs.succinct.xyz/platform/onchain-integration#gateway-deployment).
 
 ## Deploy a `BlobstreamX` contract to the new chain
 
 [Follow the guide to use your deployed `SuccinctGateway` to deploy a new Blobstream X contract](https://github.com/succinctlabs/blobstreamx?tab=readme-ov-file#deploy-blobstream-x-contract).
+
+## Run a local prover
+
+Now that you have the contracts deployed, you can
+[run a local prover](./requesting-data-commitment-ranges.md#local-proving).