I have seen a number of examples where people deploy proxies with other contracts. For example, here.
Where can I read / see an example of how to construct and send an EOA's transaction to deploy a minimal proxy?
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every proxy(and its derivatives) are just smart contracts. and there are various tools/libraries available to construct and interact with contracts.
for starters: you can use remix (which is a powerful open source tool that helps you write Solidity contracts straight from the browser)
for more proxy based examples you can use this - the entire guide in general is a good place to start as well