A different second marriage for Philippe Auguste

Constance and Arthur of Brittany
On 1196, Constance of Brittany would also ally with Philip II of France to further the independence of her duchy.
On 1202, Arthur of Brittany would find a way to challenge the terms of the second treaty of Rouen due to the marriage of King John to Isabella of Angouleme and tried to conquer Aquitaine and England and he would end up being captured by John’s barons and killed got causing his inheritance of Normandy, Anjou, Maine, Brittany and Touraine to pass to his sister, Eleanor the wife of the heir of France, it did not help that his mother his only support would die on 1201 due to the birth of his own sisters.
On 1204, the Barons and Vassals of John in Aquitaine would recognize Eleanor and Louis VIII as the heirs of Eleanor of Aquitaine after her death causing Philip II to annex it sparing Angouleme as it is Isabella of Angouleme’s inheritance.

Louis VIII and Eleanor of Brittany
On 1195, a marriage treaty would marry Louis of France to Eleanor of Brittany sealing the treaty of Rouen
On 1202, Louis of France would consummate his marriage with Eleanor of Brittany, the marriage between Louis the Lion and Eleanor of Brittany would be beneficial to France, especially after his ascension as King Louis VIII on 1223, Eleanor of Brittany would have the temper of the Plantagenets which would affect Louis the Lion.
Eleanor of Brittany and Louis VIII would have the following issue
Constance of France b. January 10, 1203 – 1240 married to Henry I of Navarre
Philip of France b. June 4, 1205 d. 1215
Louis IX of France b. April 25, 1210 d. 1270 – the Saint, no issue because he is celibate
Geoffrey, Count of Toulouse and Margrave of Provence b. November 11, 1214 – 1260 – Margaret I of Provence
Robert b. September 25, 1216 d. 1250
Isabelle b. March 1220
Charles, Duke of Anjou b. December 20, 1223 - 1285

Ingeborg of Denmark
On 1194, Ingeborg and her brother would consider the possible marriage with her and Philippe a failure and her brother would try to find a new husband for her, Casimir II of Pomerania, a useful ally of Denmark and the marriage would be fruitful as it would produce a son named Barnim(1198) who was her only known issue and the marriage would create a further tie between the Griffins and the Danes and seeing the stubborn nature of Philippe and what he and his son did to Constance, the possible marriage between Ingeborg and Philippe not pushing through was the best for her.
It was said that Ingeborg herself dodged a bullet by not marrying Philippe Auguste and Denmark in the future as well.

Albigensian Crusade
Joan of England would take the veil after her return to England in the Fontravraud Abbaye in Anjou, France.
On 1193, as a part of the pact between the House of Toulouse and the Capets, Raymond VI would marry Alice of France, Richard’s old betrothed but the marriage would only result in a daughter named Margaret of Toulouse in 1198, she would die in 1199.
On 1213, the Albigensian heresy had spread in the county of Toulouse forcing Simon de Montfort to fight Raymond VI, and he would defeat Raymond VI but Raymond VI and Peter II of Aragon would survive and remarry to Berengaria of Portugal after his wife, Maria of Montpellier’s death in Rome, Margaret of Toulouse would end up marrying a Roman aristocrat after their exile in Rome after the Albigensian Crusade.
Philip II would claim Toulouse as a reverted fief and inheritance of his wife, Constance after Simon de Montfort sold his own conquests.
On 1213, Aragon would not decide to give the heretics in the South of France a refuge and instead decided to expel them in his lands and his vassals lands forcing them to North of Italy, the second expulsion would happen after Geoffrey, the son of Eleanor of Brittany married Margaret I of Provence when she inherited Provence forcing the heretics in Provence to North of Italy, the Waldensians would change the Lombard language to be similar to that of Provencal or the Language of the South of France.