Your home is your tax home as you have described it. However, that is mostly used to determine when you are away from home as it relates to business travel. I believe you are trying to deduct local business mileage for the 1099 job and this is unrelated to mileage associated with business travel.
Unless you can establish that you have an office in your home that is associated with the 1099 job, then the local business mileage as you have described it is likely commuting mileage that is not deductible.
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