If you have a dremel (or similar rotary tool) you can purchase these sanding (or polishing) bits from Amazon that will make quick work of it. The bits are like coarse sponges and wear down, but they are sold in bags of 30 usually and will get the job done in about 4 bits of it’s just the edge of the table.
HYCC 40Pcs 1" (25mm) Abrasive Wheel Buffing Polishing Wheel Set For Dremel Rotary Tool https://www.amazon.com/dp/B01KFPO4BK/ref=cm_sw_r_cp_api_VNC.BbNDERDNS
Also, since these are sponges, it won’t really sand down the wood fast at all, so pressure isn’t much of a worry.