Question: Professor F. Lake suggests the following algorithm for finding the shortest path from node s to node t in a directed graph with some negative

 Professor F. Lake suggests the following algorithm for finding the shortest path from node s to node t in a directed graph with some negative edges: add a large constant to each edge weight so that all the weights become positive, then run Dijkstra’s algorithm starting at node s, and return the shortest path found to node t. (*)
Is this a valid method? Either prove that it works correctly, or give a counterexample

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