Sounds like you have this well in hand thanks to excellent answers already provided 👍
However, I do want to drop an important piece of info for any future person who might be reading this thread and not paying close enough attention.
With SSDs, be they SATA or nVME, *always* use utilities designed specifically for flash memory wiping. A single pass of secure wipe is enough. No latent information will reside.
This is categorically different from how secure wiping a magnetic platter based spinner is done. Because of how the magnetic storage is achieved, it takes multiple wipes, or even total physical destruction of the drive to achieve what you could consider a definite cleaning safe from any recovery. Nation state level security apparatus can recover data from rewritten HDDs by using high sensitivity magnetic resonance scanning of the raw platters. Even less sophisticated independent operators and lower food chain organizations can pull a surprising amount of data from drives one might intuitively believe are safely wiped.
When the Space Shuttle exploded over the southern US almost 20 years ago, they managed to recover almost all of the data from charred chunks of the magnetic hard drive platters that fell in a flaming debris field dozens of miles into the Texas and Louisiana fields. And forensic data tech has only become more advanced over the intervening years.
Thus the secure wipe types designed for HDDs are often VERY intense with random writes, to bury the old data under so much magnetic noise as to make any recovery incredibly difficult. This number of writes across the entire storage structure is VERY hard on flash cells, and should never be done on solid state storage. Additionally, due to TRIM and drive management, solid state drives out of the box actually contain a notably higher amount of actual flash storage space than advertised. A 240GB drive may have another 16-20GB hidden from the user. This is used as replacement flash cells as an SSD is used, and cells degrade. It reallocates data placement away from any detected degraged cells to spare ones. There are utilities to manually override such limits and use more/all of this hidden space, but it leaves you with less/zero safety net for dying cells in the future. "Provisioning".
However, situations can arise where sensitive data might have been stored in cells that were deemed 'weakening' and re-allocated to spare cells. In this case, the old data would still exist on the old, blocked off cells, and be invisible to a regular consumer OS and file system (or normal HDD wiping utility), leaving a vulnerability for potential forensic recovery to occur. This is a second reason for using software specifically designed for solid state wiping, or, as some spooks in direct operations may advise : thermite the bitches. (If in any doubt, or there is intelligence material, things you want to keep from corporate spying, potential thieves etc, you physically annihilate the device).
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