Pools of money in HSA and FSA are separate. The fact that you had an FSA with the old policies, does not impact the amount you can contribute to the HSA.
For partial year coverage there is the last month rule to be considered:
Last-month rule.
Under the last-month rule, if you are an eligible individual on the
first day of the last month of your tax year (December 1 for most
taxpayers), you are considered an eligible individual for the entire
year. You are treated as having the same HDHP coverage for the entire
year as you had on the first day of the last month if you didn’t
otherwise have coverage.
there is a important additional part of the rule.
Testing period.
If contributions were made to your HSA based on you being an eligible
individual for the entire year under the last-month rule, you must
remain an eligible individual during the testing period. For the
last-month rule, the testing period begins with the last month of your
tax year and ends on the last day of the 12th month following that
month (for example, December 1, 2024, through December 31, 2025).
If you fail to remain an eligible individual during the testing
period, for reasons other than death or becoming disabled, you will
have to include in income the total contributions made to your HSA
that wouldn’t have been made except for the last-month rule. You
include this amount in your income in the year in which you fail to be
an eligible individual. This amount is also subject to a 10%
additional tax. The income and additional tax are calculated on Form
8889, Part III.
The risk of the last month rule (01 December 2025) is that if you use it you have to keep the HSA plan through 31 December 2026. You can't quit, retire, or get laid off. That would mean the excess funds would be taxable.
To determine how much you can contribute during the partial year you need form 8889:
However, if you weren’t an eligible individual for the entire year or
changed your coverage during the year, your contribution limit is the
greater of:
The limitation shown on the Line 3 Limitation Chart and Worksheet in the Instructions for Form 8889, Health Savings Accounts (HSAs); or
The maximum annual HSA contribution based on your HDHP coverage (self-only or family) on the first day of the last month of your tax
year.