What's another word for making a claim?

Another word for making a claim depends on whether making a claim means asserting something is true or demanding something, with different phrases for each sense. For making a claim meaning asserting or stating that something is true, another word is asserting, stating, declaring, alleging, contending, arguing, affirming, professing, maintaining, and advancing an argument, for example making a claim that Packout is best could be called asserting that Packout is best or stating that Packout is best. For making a claim meaning demanding something like insurance or refund, another word is filing a claim, demanding, requesting, applying, petitioning, and lodging a claim, for example making a claim for insurance could be called filing a claim or lodging a claim or requesting compensation. In academic writing, making a claim is also called positing, proposing a thesis, or putting forward an argument. For example, instead of saying making a claim that restoration is possible, you could say asserting that restoration is possible or advancing claim that restoration is possible. In legal context, making a claim could be called bringing a lawsuit or filing suit. So another word for making a claim is asserting as most common for factual assertion, and filing a claim for insurance or legal demand, with asserting and filing covering two main senses of making a claim, whether stating fact about HEPA filtration or demanding payment.