If the First Test Case Included in a Test Suite Fails, Is It Possible to Execute the Subsequent Test Cases?
No. Since test cases within a test suite are sequential and have an execution order, Copado interprets that previous test success is required in order for the test flow to successfully continue.
A recommended approach for the desired results is to separate test cases in different test suites. For example, put test cases that depend on a sequence (such as Account --> Opportunity) into one test suite, and put other tests cases (such as Contact) into a separate test suite.
Test suites in a test group are not executed sequentially, so you should have no problem with failed test cases in separate test suites affecting one and other.