These are some example of Patriot coverage in several Ukrainian cities. Despite existence of gaps against low fliers. It does still provide some "point defense". This assumes at least PAC-2GEM-T or PAC-3 with AN/MPQ-65 Radar. The thing has uprated transmitter and maybe better receiver with about 20-30% more range compared to original AN/MPQ-53 Patriot had back then.
Odessa.
As seen, deployment in Odessa give kind of good coverage, against high altitude target it can be used at maximum range (160-220 km) For low fliers it will however protect only the city. It may can be used to deny access to Transnistrian airspace as Ukraine is claiming of doing.
Kharkov
Deployed in city of Kharkov a Patriot may deny use 5000 m altitude as deep as Kursk where Russian Su-30 base are located, but for low altitude target, Coverage become spotty with notable "gap" in northern direction against target flying at about 40-100 meters. This deployment however might be risky as it so close to Russian forces. The battery would be highly vulnerable not only from Russian means of defense suppression but also conventional artilleries.
Kiev
Similar coverage as one in Kharkov, the battery may engage high altitude target flying as deep as Mazar, Belarus and radar coverage as deep as Gomel. These cities are notable for Russian fighters flying high and releasing standoff weapon. Low altitude coverage exhibit kind of similar gaps as Kharkov.
Lviv
The battery have notable good coverage against target flying as low as 500 m but appears much less so against lower flying target. It may still however reduce chance of another Yavoriv from happening. The high altitude coverage seems good to cover most of Eastern Ukraine.
Dnipropetrovsk
Placement of Patriot there may allow coverage of Russian occupied territory in Lugansk and Donetsk, high altitude coverage even extend as deep as Mariupol and most of Kherson oblast. Had this present earlier it may contribute to Mariupol campaign and bombing of Azovstal with conventional bombs by Tu-22M3's probably wont happen.
Regardless of performance against Houthi drones and Ballistic missiles (well KSA bought THAAD supposedly to relieve their patriots from that role) It is a threat Russia should not (and naturally) underestimate. Technical means of suppression exist even back in 1980's with apparent existence of Tochka equipped with anti radiation warhead to suppress NATO patriot battery. Su-34 with that big dangling jammer will finally get more representative target for their SAP-14's and should be carrying KH-31's or something with longer range to deal with Patriots.
I believe the US will send at least PAC-2 with range of at least 160 km maybe also with specific anti standoff jammer missile with 200 km range.