You need to calculate the output offset for the maximum input DC offset of the op amp you will use, which is the input offset times the closed-loop gain (here 10).
If that's too high for you purposes, then you need an op amp with lower offset (there are auto-zero amps with low microvolt offset if needed).
You can't depend upon the simulation to give an accurate worst-case offset.
The sim below shows it works using a low offset, single-supply op amp:
I changed the values for R1 and Rfb to get the closest gain of 10 that standard 1% values can generate (within about 0.3% of the ideal, for zero resistor tolerance).
For a lower cost, low-offset amp, try looking at the OPAx197, for example, which I think is a low-cost op amp with low offset.

If that's too high for you purposes, then you need an op amp with lower offset (there are auto-zero amps with low microvolt offset if needed).
You can't depend upon the simulation to give an accurate worst-case offset.
The sim below shows it works using a low offset, single-supply op amp:
I changed the values for R1 and Rfb to get the closest gain of 10 that standard 1% values can generate (within about 0.3% of the ideal, for zero resistor tolerance).
For a lower cost, low-offset amp, try looking at the OPAx197, for example, which I think is a low-cost op amp with low offset.

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