Question: The 8×50mmR Lebel is a rifle cartridge that can be used in what rifle that had a bolt modification added in 1893?

Context paragraphs:
7.5×54mm French: The 7.5×54mm French or 7.5 French (designated as the 7,5 × 54 MAS by the C.I.P.) is a rimless bottlenecked rifle cartridge.  It was developed by France as an update to the 7.5×57mm MAS mod.  1924 cartridge.  It replaced the obsolete 8×50mmR Lebel round used during World War I.

6.5×50mmSR Arisaka: The 6.5×50mm Semi-Rimmed (6.5×50mmSR) Japanese cartridge, currently manufactured under the designation "6.5mm Jap", was adopted by the Imperial Japanese Army in 1897, along with the Type 30 Arisaka infantry rifle and carbine.  The new rifle and cartridge replaced the 8×52mm Murata round used in the Type 22 Murata Rifle.  In 1902 the Imperial Japanese Navy chambered its Type 35 rifle for the cartridge as well.  In 1905, the round also came to be offered in the Type 38 Arisaka infantry rifle and carbine, both of which rendered the Type 30 obsolete in Imperial Army service.  Type 44 cavalry carbines, first adopted in 1911, were also chambered in 6.5×50mm.

8×56mmR: The 8×56mmR or 8×56mmR M30S (C.I.P. civil designation) cartridge was adopted in the year 1930 by Austria, in 1931 by the Kingdom of Hungary and in 1934 by the Kingdom of Bulgaria as a replacement for the 8×50mmR Mannlicher cartridge.

Patrone 88: The Patrone 88 (cartridge 88) or M/88 is a rimless bottlenecked rifle cartridge.  It was a first-generation smokeless propellant cartridge designed by the German "Gewehr-Prüfungskommission" (G.P.K.) (Rifle Testing Commission) as the than new smokeless propellant introduced as Poudre B in the 1886 pattern 8×50mmR Lebel started a military rifle ammunition revolution.

Lebel Model 1886 rifle: The Lebel Model 1886 rifle (French: Fusil Modèle 1886 dit "Fusil Lebel") is also known as the "Fusil Mle 1886 M93", after a bolt modification was added in 1893.  It is an 8 mm bolt action infantry rifle that entered service in the French Army in 1887.  It is a repeating rifle that can hold eight rounds in its forestock tube magazine, one round in the transporter plus one round in the chamber.  The Lebel rifle has the distinction of being the first military firearm to use smokeless powder ammunition.  The new propellant powder, ""Poudre B"," was nitrocellulose-based and had been invented in 1884 by French chemist Paul Vieille.  Lieutenant Colonel Nicolas Lebel contributed a flat nosed 8 mm full metal jacket bullet (""Balle M"," or ""Balle Lebel"").  Twelve years later, in 1898, a solid brass pointed (spitzer) and boat-tail bullet called ""Balle D"" was retained for all 8mm Lebel ammunition.  Each case was protected against accidental percussion inside the tube magazine by a primer cover and by a circular groove around the primer cup which caught the tip of the following pointed bullet.  Featuring an oversized bolt with front locking lugs and a massive receiver, the Lebel rifle was a durable design capable of long range performance.  In spite of early obsolete features, such as its tube magazine and the shape of 8mm Lebel rimmed ammunition, the Lebel rifle remained the basic weapon of French line infantry during World War I (1914–1918).  Altogether, 3.45 million Lebel rifles were produced by the three French state factories between 1887 and 1916.

7.7×58mm Arisaka: The 7.7×58mm Arisaka cartridge, Type 99 rimless 7.7 mm or 7.7mm Japanese was a rifle cartridge which was used in the Imperial Japanese Army's Arisaka Type 99 Rifle and machine guns, and was the standard light cartridge for the Imperial Japanese Army Air Service, such as the Type 89.  The Imperial Japanese Navy (and her Air Service) never shared weapons or ammunition with the Army, instead adopting the "7.7x56mmR", a direct copy of the .303 British round.  The cartridge was designed to replace the aging 6.5×50mm Arisaka cartridge after seeing the effectiveness of the 8×57 IS heavy machine gun in action in China during 1937.  Due to lack of materials the plan to phase out the 6.5 mm Arisaka cartridge by the end of the war was not completed.

8×50mmR Mannlicher: "Note: Not to be confused with the French 8×50mmR Lebel cartridge."

8×68mm S: The 8×68mm S rebated rim bottlenecked centerfire rifle cartridge (the S denoting it is intended for 8.2 mm (.323 in) groove diameter bullets) and its necked-down sister cartridge, the 6.5×68mm (no S, or other modifier required), were developed in the 1930s by August Schüler of the "August Schüler Waffenfabrik, Suhl, Germany" as magnum hunting cartridges that would just fit and function in standard-sized Mauser 98 bolt-action rifles.  This is one of the early examples where a completely new rifle cartridge (the 8×68mm S and 6.5×68mm have no other cartridge as parent case) was developed by a gunsmith to fit a specific popular and widespread type of rifle.

6.5×68mm: The 6.5×68mm rebated rim bottlenecked centerfire rifle cartridge (also known as the 6.5×68mm RWS, 6.5×68mm Schüler, or the 6.5×68mm Von Hofe Express) and its sister cartridge the 8×68mm S were developed in the 1930s by August Schüler from the "August Schüler Waffenfabrik, Suhl, Germany" as magnum hunting cartridges that would just fit and function in standard-sized Mauser 98 bolt-action rifles.  This is one of the early examples where a completely new rifle cartridge (the 6.5×68mm and 8×68mm S have no other cartridge as parent case) was developed by a gunsmith to fit a specific popular and widespread type of rifle.

8×50mmR Lebel: The 8×50mmR Lebel (8mm Lebel) (designated as the 8 × 51 R Lebel by the C.I.P.) rifle cartridge was the first smokeless powder cartridge to be made and adopted by any country.  It was introduced by France in 1886.  Formed by necking down the 11mm Gras black powder cartridge, the smokeless 8 mm Lebel cartridge started a revolution in military rifle ammunition.  Standard 8mm Lebel military ammunition was also the first rifle ammunition to feature a spitzer boat tail bullet (Balle D), which was adopted in 1898.  The long-range ballistic performance of the 8mm Lebel bullet itself was exceptional.  For use in the magazine tube-fed early Lebel rifle, the 8mm case was designed to protect against accidental percussion inside the tube magazine by a circular groove around the primer cup which caught the tip of the following pointed bullet.  However, the shape of its rimmed bottle-necked case, having been designed for the Lebel rifle's tube magazine, also precluded truly efficient vertical stacking inside a vertical magazine.  The bolt thrust of the 8mm Lebel is relatively high compared to many other service rounds used in the early 20th century.  Although it was once revolutionary, the 8mm Lebel was declared obsolete after World War I and was soon after replaced with the 7.5×54mm French round.

Supporting paragraphs: 8×50mmR Lebel Lebel Model 1886 rifle
Answer: Lebel Model 1886 rifle