Preheat oven to 400˚F. Line a baking sheet with parchment paper.
Whisk together flour, salt, thyme leaves and lemon zest with a fork in a medium bowl.
Cut shortening, butter and olive oil into flour mixture using fingertips or a pastry cutter until the mixture resembles coarse breadcrumbs with some pea-sized pieces.
Add 1 tablespoon of water at a time and stir with a fork or fingers until incorporated. Repeat until dough holds together when squeezed in the palm of your hand.
Gather dough together and form into a disc. Dough can be wrapped and refrigerated at this point or rolled out to use right away.
Roll dough out to about 1/4" thickness on a lightly floured surface. Turn and flip dough as your roll it out and re-flour surface as needed.
If making one large galette, trim rough edges and transfer dough to the parchment lined baking sheet by rolling it up on the rolling pin and unrolling it onto the parchment.
If making smaller galettes, cut out 2-3 circles and transfer them to the parchment lined baking sheet. Lightly rework dough scraps and roll and cut 1-2 more circles, and transfer them to the baking sheet. You may need 2 baking sheets if making smaller galettes.