Add 45 RPM to an LP12


I have an old 1970’s Linn LP12 - US, 33 RPM only, square orange button, 60 Hz motor. I just want to add 45 RPM capability at this time. I am hoping an experienced Linn expert can suggest a simple, easy, cost-effective way to accomplish this among the many possible solutions that are available. The many choices, upgrades and sources have me confused. Thanks in advance for any help.
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I found that the Linn LP12 45 RPM Adaptor allows you to play 45 RPM records on the Linn Majik/Valhalla LP12 turntable, DOES NOTE WORK on early turntables. The ID seems to larger for the original sondek's capstan. Anyone else with this observation or solution? Thx