Graduated in May and started a new job. Confused about HSA Eligibility

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I graduated in May and started a new job in August. I am eligible to be claimed as a dependent on my parent's 2025 tax return. I have been told by both my employer and the company that runs the HSA account that I can contribute to an HSA if I am eligible to be claimed, but am not actually claimed. However, I have seen some contradictions on the IRS website and other online sources, so I am unsure if I am actually eligible to have an HSA.

[Bsch4477]

The company is wrong. If you can be claimed as a dependent you can’t have an HSA even if you are not claimed. Note that if you provide more than half of your own support you can’t be claimed. 

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So the insurance plan that my employer offers automatically includes an HSA account. If I open the HSA account, but make 0 contributions until I am HSA eligible, will it still be ok to have the account?

[Bsch4477]

That’s fine but make sure that neither you nor your company makes contributions until you are eligible.