Power on reset timer for cellular radio using SN74LVC1G132 NAND, RC, MOSFET—circuit ideas?

I'm building a device around a cellular radio and the radio has a quirky power on sequence. It wants power (3.3V) for 30ms, then to have a power-on line (that is internally pulled up to 1.5V) pulled down for >500ms, then left to float back high.
I looked and couldn't find a reset controller that could be cajoled into working this way. So I debated for a bit and settled on solving it with a logic gate and a pair of R/Cs. My thought is to use a TI SN74LVC1G132 schmitt trigger NAND gate. For other parts of the board, I've already got an N channel mosfet and 1uF ceramic caps, so I figured I'd re-use those, add the resistors and only inflate by BOM by 3 parts. Any better suggestions, improvements or criticisms of this circuit?
I expect that I'll have to tinker with the resistor values to account for the input impedance of the nand gate.

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It appears to me that you want the MOSFET gate to be low for 30 mS, then high for 500 mS, then low thereafter. To do this, swap the 30K ohm resistor and its 1 uF capacitor and insert an inverter between the '132 output and the MOSFET gate.

I'm not sure why I said nand gate. It's an XOR gate and I even pasted the wrong part number. TI SN74AHC1G86DBVR.In my simulator schematic, I used the correct part and it does behave exactly how I need this thing to behave.

Does the '86 XOR gate have schmitt-trigger inputs? If not, the '86 output might oscillate as the inputs slowly pass through their thresholds.

It does.