I am concerned about your timing. See the FactShhet below. Our winters are so variable with warm spells followed by extreme cold, at this point you might be better off waiting as described by the second FactSheet specific to Ohio. The optimal time for all grass seating is in September. Unless you have extensive bare spots or are willing to vigilantly water this coming summer. You might consider waiting until next early fall.

https://extension.umn.edu/lawn-care/dormant-seeding

Winters with extended warm periods followed by extremely cold periods can negatively affect spring germination of dormant seeded lawns.

Dormant seeding works best when you want to reseed bare soil areas or help thicken up thin lawns. It is not as effective where lawns are thick and dense because good seed-to-soil contact is necessary for the grass seeds to germinate and grow next spring.

The time to dormant seed is important. If done too early, some seed will germinate late in the season and those immature seedlings often won’t survive the winter. Put down your seed while the ground is not frozen, but is still cold enough so germination of the grass seed will not occur until next spring. Usually, this is from late October to mid-November depending on your location.

FactSheet 2 with information specific to Ohio in 2024:

https://buckeyeturf.osu.edu/news/seed-establishment-fall

An excerpt:

Dormant Seeding as an Alternative

If the team decides it's too late for even fast-germinating species, dormant seeding offers another option. Dormant seeding involves applying seed that will not germinate until conditions improve in spring. Typically done in late winter (February-March), dormant seeding could also occur in late fall or early winter, provided a mulch or cover protects the seed from washing away. The aim is to prevent soil erosion over winter (Figure 4) and promote early germination in spring 2025, giving turf a head start as soon as conditions allow.

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"Put down your seed while the ground is not frozen, but is still cold enough so germination of the grass seed will not occur until next spring. Usually, this is from late October to mid-November depending on your location."

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Yes.  Especially recently, winter temperatures have been very variable.  You would not want to have the seed germinate during a warm spell only to be frozen hard shortly thereafter.  This is especially worrisome as we do not have the snow cover any longer that we once did in Ohio which helps insulate the ground from temperature extremes.  Conditions are much different in Minnesota.  Of course there is no predicting exactly what the weather will be, so there are many unknowns.  Your safest bet at this point is to wait until February or March.  
One always has to be cognizant of keeping newly seeded turf moist.  This is one reason why fall planting is recommended, the fall generally has generous rainfall.  The early spring similarly is a time of year with spring rains, but certainly you will want to keep an eye out and never let the newly germinated seed dry out.