chore: add SciMLPublic.jl as a dependency

Author: AayushSabharwal

Project.toml

@@ -51,6 +51,7 @@ Reexport = "189a3867-3050-52da-a836-e630ba90ab69"
 RuntimeGeneratedFunctions = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
 SCCNonlinearSolve = "9dfe8606-65a1-4bb3-9748-cb89d1561431"
 SciMLBase = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
+SciMLPublic = "431bcebd-1456-4ced-9d72-93c2757fff0b"
 SciMLStructures = "53ae85a6-f571-4167-b2af-e1d143709226"
 Serialization = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 Setfield = "efcf1570-3423-57d1-acb7-fd33fddbac46"
@@ -145,6 +146,7 @@ Reexport = "0.2, 1"
 RuntimeGeneratedFunctions = "0.5.9"
 SCCNonlinearSolve = "1.0.0"
 SciMLBase = "2.91.1"
+SciMLPublic = "1.0.0"
 SciMLStructures = "1.7"
 Serialization = "1"
 Setfield = "0.7, 0.8, 1"