Centrelock tools

in Workshop
I have a new bike equipped with SRAM rotors. They are secured using centrelock with external splines - like this:

Can anyone recommend a tool to remove these? I have 2 tools, neither of which work:
https://ride.lezyne.com/products/1-st-exbbt-soc-v108?_pos=2&_sid=2c7f548c6&_ss=r This is too shallow and won't fit over the protruding axle to engage the lockring
https://merlincycles.com/en-gb/pedros-bb-wrench-shimano-16-notch-99358.html This is too shallow and I cannot get a proper grip on the splines with it.
The only options I can find that looks like they would work are:
the IceToolz Disc Brake Lockring Tool, #M082 https://icetoolz.eu/en/icetoolz-disc-brake-lockring-tool-m082/a5840 but this is not in stock anywhere.
Or the Park Tool BBT-69.4 https://www.parktool.com/en-us/product/bottom-bracket-lockring-tool-16-notch-bbt-69-4#tabbed-section but I'm not sure if this is deep enough to fit over the axle and cannot see any dimensions online.
I can't believe this isn't a common problem but there seems to be very little information online to assist with this. Can anyone recommend a tool to do the job, preferably something made of steel rather than aluminium?
Thanks.

Can anyone recommend a tool to remove these? I have 2 tools, neither of which work:
https://ride.lezyne.com/products/1-st-exbbt-soc-v108?_pos=2&_sid=2c7f548c6&_ss=r This is too shallow and won't fit over the protruding axle to engage the lockring
https://merlincycles.com/en-gb/pedros-bb-wrench-shimano-16-notch-99358.html This is too shallow and I cannot get a proper grip on the splines with it.
The only options I can find that looks like they would work are:
the IceToolz Disc Brake Lockring Tool, #M082 https://icetoolz.eu/en/icetoolz-disc-brake-lockring-tool-m082/a5840 but this is not in stock anywhere.
Or the Park Tool BBT-69.4 https://www.parktool.com/en-us/product/bottom-bracket-lockring-tool-16-notch-bbt-69-4#tabbed-section but I'm not sure if this is deep enough to fit over the axle and cannot see any dimensions online.
I can't believe this isn't a common problem but there seems to be very little information online to assist with this. Can anyone recommend a tool to do the job, preferably something made of steel rather than aluminium?
Thanks.
2015 Canyon Aeroad CF SLX
2020 Canyon Ultimate CF SLX
2020 Canyon Inflite SL 7
On the Strand
Crown Stables
2020 Canyon Ultimate CF SLX
2020 Canyon Inflite SL 7
On the Strand
Crown Stables
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https://www.amazon.co.uk/nuoshen-Bracket-TL-FC32-Aluminum-Equipment/dp/B09731T5YL/ref=pd_bxgy_img_sccl_2/261-5664855-0050208?pd_rd_w=zWWVr&content-id=amzn1.sym.79b812bf-5c8b-4c0c-851c-784423adaff5&pf_rd_p=79b812bf-5c8b-4c0c-851c-784423adaff5&pf_rd_r=PQCSRD1WFTNBBY3D3QE1&pd_rd_wg=wMJhu&pd_rd_r=1cce6c2e-4fbc-418c-866d-3638f447ff59&pd_rd_i=B09731T5YL&psc=1
Just not sure about the overall diameter of the tool and whether it would fit over the said lock ring.
The comments against the Park Tool alternative you linked suggest it is deeper in order to fit over thru axles.
https://www.parktool.com/en-int/product/bottom-bracket-tool-bbt-9?category=Crank+&+Bottom+Bracket
https://www.amazon.co.uk/IceToolz-M082-Crank-Tool-Black/dp/B08HR663RR
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