No, your Home Office Deduction expenses should not affect Schedule A for deductible mortgage interest and property taxes, other than the allocation based on percentage used for the home office.
The numbers you listed for Form 8829 Indirect Expenses appear to be accurate. Line 10, Deductible Mortgage Interest, should be the same as Schedule A Line 8a, since excess interest is shown on Line 16 (which totals to the amount on Form 1098). There should be no excess Property Taxes on Line 17 because the full amount from Form 1098 appears on Line 11.
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