feat(euclid): integration with decision engine

[prajjwalkumar17]

Type of Change

• [ ] Bugfix
• [ ] New feature
• [ ] Enhancement
• [ ] Refactoring
• [ ] Dependency updates
• [ ] Documentation
• [ ] CI/CD

Description

Additional Changes

• [ ] This PR modifies the API contract
• [ ] This PR modifies the database schema
• [ ] This PR modifies application configuration/environment variables

Motivation and Context

How did you test it?

Checklist

• [ ] I formatted the code cargo +nightly fmt --all
• [ ] I addressed lints thrown by cargo clippy
• [ ] I reviewed the submitted code
• [ ] I added unit tests for my changes where possible

[semanticdiff-com[bot]]

Review changes with  

Changed Files

File	Status
crates/api_models/src/routing.rs	78% smaller
crates/router/src/core/routing.rs	11% smaller
crates/router/src/core/payments/routing.rs	8% smaller
api-reference-v2/openapi_spec.json	0% smaller
api-reference/openapi_spec.json	0% smaller
crates/diesel_models/src/routing_algorithm.rs	0% smaller
crates/diesel_models/src/schema.rs	0% smaller
crates/router/src/core/payments/routing/utils.rs	0% smaller
crates/router/src/core/routing/helpers.rs	0% smaller
crates/router/src/core/routing/transformers.rs	0% smaller
migrations/2025-05-08-102850_add_de_euclid_id_in_routing_algorithm_table/down.sql	Unsupported file format
migrations/2025-05-08-102850_add_de_euclid_id_in_routing_algorithm_table/up.sql	Unsupported file format
v2_migrations/2025-01-13-081847_drop_v1_columns/up.sql	Unsupported file format

[Sarthak1799]

Migration tests failing @prajjwalkumar17 Also fix the migration in PR desc, those should be to add the column.