Lets exemine the Egyptian goals according to you:
"1) Occupy the whole area across the Suez Canal." -This goal was not achieved:
"2) Make the war last aslong as it can" -This goal was not achieved. Egypt was forced to sign ceasefire with Israel in order to save it's 3rd Army - which consisted of more than 100,000 soldiers - who would've otherwise been destroyed by the IDF.
"3) Force Israel to accept a ceasefire with them giving up the lands they occupied on 1967." -This goal was not achieved, as the map above tells us.
So lets conclude: zero goals achieved out of three, more territory was lost than territory gained, the capital city was threatened and only Western pressure prevented Israel from occupying it, the casualties are in ratio of 5:1 although the Egyptians had more men and the surprise factor. The obvious conclusion is: An utter defeat.
Golda Meir did not give up Sinai. Israel, being a democracy, elects every 4 years a new prime minister. After the Golda's term, Menahem Begin was elected - and he chose to return Sinai for peace.
I'm done here as far as I'm concerned.