She cannot use a tourist visa to enter the US if she has the intention to marry and file for permanent residence. The correct visa for this is the K-1, and the k dependent visa for her daughter.
After she enters with the K, she can apply for an EAD, and you can marry within 90 days, and then apply for her AOS.
The timing is bad as it is taking about 5-6 months for the USCIS to approve the K-1, which is required for the K visa issuance. The visa issuance is dependent on the US consulate. Good luck.
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