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Direct fit

Does the CBE Engage fit a PSE Mach 34?

Fits on the bracket. The Mach 34 has no in-riser slot, so the CBE Engage mounts on the conventional side sight bushings in its standard dovetail form.

Bow sight mount

conventional side-bracket sight bushings only

Sight

CBE Engage, a Bridge-Lock-capable dovetail sight

Whether the CBE Engage fits the Mach 34 comes down to its conventional bracket sight mount.

The two ends

Bow sight mountconventional side-bracket sight bushings only
SightCBE Engage, a Bridge-Lock-capable dovetail sight
What to orderCBE Engage, standard bracket-mount version
Trapyou do not need a Bridge-Lock or Picatinny version for this bow

The PSE Mach 34 sight mount is a conventional bracket interface, so whether the CBE Engage fits depends on the mounting bar, not the sight head.

The CBE Engage is a dovetail sight offered in a Bridge-Lock version, which is why it drops into a Mathews slot but needs a base change for a Picatinny rail and cannot use a Center Mass slot.

Related

Sources: Custom Bow Equipment: Bridge-Lock Conversion Bar (3 detents, CBE sights) ยท Hoyt Archery: In-Line system FAQ (Picatinny sights and adapters)