Cook the potatoes in their skins until tender when pierced, 15β20 minutes. Drain, let cool until handleable, peel, and crumble into rough 0.5-inch pieces.
Make the dough: In a large bowl, combine the 3 cups all-purpose flour, carom seeds, and 1 tsp salt (for dough). Add 6 tbsp neutral oil and rub with fingertips until the flour resembles damp sand and holds a clump when pressed, 2β3 minutes.
Drizzle in 0.75 cup water (for dough), a little at a time, mixing and pressing to form a stiff, non-sticky dough. Knead just until smooth, 2β3 minutes. Cover and rest 30 minutes.
Make the sealing paste: In a small bowl, whisk 2 tbsp all-purpose flour (for sealing paste) with 2 tbsp water (for sealing paste) to a thick, smooth paste.
Make the filling base: Heat 2 tbsp neutral oil (for filling) in a wide skillet over medium heat until shimmering.
Add cumin seeds; let them sizzle 30 seconds. Stir in crushed coriander and fennel seeds; toast until fragrant, 30β45 seconds.
Sprinkle in turmeric and red chili powder; stir 10 seconds.
Add green peas and cook until bright and thawed, 1β2 minutes.
Add the crumbled potatoes, 1.5 tsp salt (for filling), garam masala, amchur, and crushed kasuri methi. Toss and lightly mash to combine, leaving some small chunks. Cook, stirring, 2β3 minutes to meld flavors. Remove from heat, cool to room temperature, then fold in chopped cilantro.
Divide the rested dough into 6 equal portions. Roll each into a smooth ball, then into a 6β7 inch oval, about 1/16 inch thick. Keep covered so they donβt dry out.
Cut each oval in half to make 12 semicircles. Working with one piece at a time, brush a thin line of sealing paste along the straight edge. Shape into a cone by overlapping the straight edges and pressing to seal.
Fill the cone with about 2β3 tbsp potato filling, leaving 0.5 inch at the top. Brush paste along the open rim, fold and pinch to seal, pressing out air. Crimp or pleat the edge for a tight seal. Repeat with remaining dough and filling.
Heat 2 quarts neutral oil (for deep-frying) in a heavy pot over medium-low heat to 300Β°F. Fry in batches without crowding.
Fry each batch at 300Β°F, turning occasionally, until the crust is set and pale with small blisters, 10β12 minutes. Increase heat to maintain 325β340Β°F and continue frying until deep golden brown, 5β7 minutes more. Doneness cue: crisp shell, audible sizzle nearly subsides.
Drain on a rack. Rest 5 minutes for the crust to fully crisp, then serve warm with tamarind chutney and cilantro-mint chutney.