That's similar to what happened to me with State Farm a few years ago, except mine were both theft claims on my renter's insurance (stolen bike and theft from vehicle, ~$3k each) about 18-months apart. When it came time to renew my policy State Farm declined, stating I was too great a risk. Turns out with two claims within the last five years a lot of companies will not insure you. And pretty much no companies will if you have three claims in that same time frame. That's a big problem if you've got homeowner's insurance that is required for your mortgage. I was able to get a replacement renter's policy but it cost about double what I'd been paying before. So it shouldn't be a problem to get a replacement policy in time, but you may not like the price sadly.
In light of my experience, these days I would be more hesitant to make a claim for things like bike theft / car breakins unless it's for a huge amount like multiple new bikes at once. Just not worth the risk of being dropped if you are misfortunate enough to have to make another claim. As someone else mentioned, self-insure by putting a bit of money away each month for theft type claims. Go with a higher deductible on renters/homeowners policy and add the savings to your insurance fund.
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