Just wondering what the Morse taper size of the spindle of My lathe would be ?

I have to buy some ER 32 collets for another machine which has a chuck for them already .
In that box there is a Chuck with a no 3 Morse taper . Is the hercus a 3 MT ?
And would this fit?

https://www.ebay.com.au/itm/Precisio...53.m1438.l2649


Rob


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